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This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by ground-based interferometers and pulsar timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Nicolas Yunes , Xavier Siemens

We investigated the SU(2) Einstein-Yang-Mills system on a time-dependent non-diagonal cylindrical symmetric space-time. From the numerical investigation, wave-like solutions are found, consistent with the familiar string-like features. They…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reinoud J. Slagter

Stellar pulsations in rotating relativistic stars are reviewed. Slow rotation approximation is applied to solving the Einstein equations. The rotational effects on the non-axisymmetric oscillations are explicitly shown in the polar and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasufumi Kojima

In this work consideration is given to massless and massive gauge-invariant spin 0 and spin 1 fields (particles) within the scope of a theory of the generalized relativistic wave equations with an extended set of the Lorentz group…

High Energy Physics - Theory · Physics 2010-02-04 V. A. Pletyukhov , V. I. Strazhev

The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Minkowski background spacetime. This is the approach of a…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Marco de Cesare , R. Oliveri , J. W. van Holten

Gravitational waves exhibit the unique signature of their spin-2 nature in processes of wave scattering, due to the interaction between spin and a background spacetime. Since the spin effect is more pronounced for longer wavelengths and…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Hayato Motohashi , Shinji Mukohyama

By considering the irreducible representations of the Lorentz group, an analysis of the different spin-2 waves is presented. In particular, the question of the helicity is discussed. It is concluded that, although from the point of view of…

General Relativity and Quantum Cosmology · Physics 2012-09-05 H. I. Arcos , C. S. O. Mayor , G. Otalora , J. G. Pereira

Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

We provide analysis to determine the effects of gravitational waves on electromagnetic waves, using perturbation theory in general relativity. Our analysis is performed in a completely covariant manner without invoking any coordinates. For…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Chan Park , Dong-Hoon Kim

Motion of test particles in the gravitational field associated with an electromagnetic plane wave is investigated. The interaction with the radiation field is modeled by a force term {\it \`a la} Poynting-Robertson entering the equations of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

Gravitational waves offer a potent mean to test the underlying theory of gravity. In general theories of gravity, such as scalar-tensor theories, one expects modifications in the friction term and the sound speed in the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Yi-Fu Cai , Guillem Domènech , Alexander Ganz , Jie Jiang , Chunshan Lin , Bo Wang

Gravitational waves with parallel rays are known to have remarkable properties: Their orbit space of null rays possesses the structure of a non-relativistic spacetime of codimension-one. Their geodesics are in one-to-one correspondence with…

High Energy Physics - Theory · Physics 2016-02-22 Xavier Bekaert , Kevin Morand

Gravitational wave astronomy has tremendous potential for studying extreme astrophysical phenomena and exploring fundamental physics. The waves produced by binary black hole mergers will provide a pristine environment in which to study…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Neil Cornish , Laura Sampson , Nico Yunes , Frans Pretorius

We discuss polarization of gravitational radiation within the standard framework of linearized general relativity. The recent experimental discovery of gravitational waves provides the impetus to revisit the implications of the…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Bahram Mashhoon , Sohrab Rahvar

The effect of gravitational wave of cosmological wavelength on the gravitational lensing is investigated. When the source, deflector, and observer are aligned in a highly symmetric configuration, an Einstein ring will be observed by the…

General Relativity and Quantum Cosmology · Physics 2021-11-04 Wenshuai Liu

It is shown that accurate photometric observations of a relatively high--magnification microlensing event ($A\gg 1$), occurring close to the line of sight of a gravitational wave (GW) source, represented by a binary star, can allow the…

Astrophysics · Physics 2009-11-10 R. Ragazzoni , G. Valente , E. Marchetti

A laser interferometric detector of gravitational waves is studied and a complete solution (to first order in the metric perturbation) of the coupled Einstein-Maxwell equations with appropriate boundary conditions for the light beams is…

Astrophysics · Physics 2010-04-06 F. I. Cooperstock , V. Faraoni

With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of…

General Relativity and Quantum Cosmology · Physics 2020-05-13 K. Bronnikov , N. O. Santos , Anzhong Wang

Exact solutions of Einstein's vacuum equations are considered which describe gravitational waves with distinct wavefronts. A family of such solutions presented recently in which the wavefronts have various geometries and which propagate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G A Alekseev , J B Griffiths

In this review we consider the quadratic Metric-Affine Gauge gravity Lagrangian, which contains all the algebraic invariants up to quadratic order in torsion, nonmetricity and curvature. The goal will be to collect the known exact solutions…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Alejandro Jiménez-Cano